0
RESEARCH PAPERS

A Procedure for Investigating the Liapunov Stability of Nonautonomous Linear Second-Order Systems

[+] Author and Article Information
S. E. Jones, T. R. Robe

Department of Engineering Mechanics, University of Kentucky, Lexington, Ky.

J. Appl. Mech 40(4), 1103-1106 (Dec 01, 1973) (4 pages) doi:10.1115/1.3423133 History: Received December 01, 1972; Online July 12, 2010

Abstract

Utilizing Liapunov’s direct method a procedure is presented which generates sufficient conditions for the stability of the null solution of the nonautonomous differential equation ẍ + b(t)ẋ + a(t)x = 0. This procedure systematically leads to the construction of a Liapunov function for a given differential equation and thus eliminates the normally ad hoc nature of the direct method. Four examples illustrating the procedure are discussed.

Copyright © 1973 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In